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Finding the Fourth Proportional to 16,007.49, 24,013.65 and 7,685.94

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Solution

The fourth proportional to 16,007.49, 24,013.65 and 7,685.94 is: 11,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.49 : 24,013.65 = 7,685.94 : x
  2. Step 2: Convert to fraction form
    16,007.49/24,013.65 = 7,685.94/x
  3. Step 3: Cross multiply
    16,007.49x = 24,013.65 × 7,685.94
  4. Step 4: Simplify right side
    16,007.49x = 184,567,473.08
  5. Step 5: Solve for x
    x = 184,567,473.08/16,007.49
  6. Step 6: Final answer
    x = 11,530.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.